# Worksheet: Straight Line Equations in Vector Form

In this worksheet, we will practice finding the equation of a straight line in vector form.

**Q1: **

Which of the following can be the vector form of the equation of the straight line , where and ?

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**Q2: **

Which of the following can be the vector form of the equation of the straight line , where and ?

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**Q3: **

Find the vector equation of the straight line passing through the origin and the point .

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**Q4: **

Find the vector equation of the straight line passing through the points and .

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**Q5: **

Find the vector equation of the straight line whose slope is and passes through the point .

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**Q6: **

Consider the line through the point and perpendicular to vector . Which of the following is a vector equation of this line?

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**Q7: **

Find the vector form of the equation of the straight line passing throught the point and parallel to the straight line passing through the two points and .

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**Q8: **

Write the vector equation of the straight line that passes through the point with direction vector .

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**Q9: **

Find the vector form of the equation of the straight line passing through the point and the intersection point of the two straight lines and .

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**Q10: **

Find the vector form of the equation of the straight line passing through the point and the centre of the sphere whose equation is .

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**Q11: **

Determine the vector form of the equation of the straight line passing through the point and parallel to the vector .

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**Q12: **

Determine, in vector form, the equation of the straight line that passes through the points and .

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**Q13: **

Find the vector equation of the straight line that is parallel to the -axis and passing through the point .

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**Q14: **

Consider the line through the point and perpendicular to vector . Which of the following is a vector equation of this line?

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